Suppose that (x, y) E (A \ B) × C, for sets A, B,C C S. Then a E A and r¢ B, and y E C. This implies that z E A and yE C, and z B and y E C.L.e. (2, y) E Ax C. and (r, y) B x C. Therefore (r, y) E (A x C) \ (B × C). This proves that (A \ B) x CC (Ax C)\ (B x C). O True O False

Q: - メ Q)ずー=e*e

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Q: 12. Statement 1: All X are Y Statement 2: All Z are X Statement 3: Therefore, A. all Z are Y B. some…

A: Statement 1:All X are YStatement 2:All Z are XStatement 3: therefore=?

Q: Ex 2.6. for sets ASB CC show that C=BU(CIA)?

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Q: If P = {a, b, c} and Q = {r}, form the sets P × Q and Q × P. Are these two products equal?

A: P × Q = {a,b,c} × {r} = {(a,r) , (b,r) , (c,r) } Q × P= {r} × {a,b,c} = { (r,a) , (r,b) , (r,c) }

Q: Which of the following is always true about the Cartesian product of sets A and B? A. (A x B) x C =…

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Q: me Ik Pi p then

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Q: given A={x I x2 - 1 = 0 }, B = {x I x2 + x - 2 = 0}, and C = {x I x3-x2=0} A, B, C Ⅽ R a. A U ( B ∩…

A: A=x:x2-1=0B=x:x2+x-2=0C=x:x3-x2=0 Then we have to evaluate A∪B∩C.

Q: . if m∠BAC=59-xand m∠BCA= 9x/2+15,find m(BC) ̂ and m(BA) ̂ 2. if m∠ABD≅∠CBD,m∠ABD=…

A: See the detailed solution below.

Q: If A and B are independent, and the P(A) = 0.35 and P(B) = 0.45 find: a) P(A ∩ B)…

A: Given that P(A) = 0.35 P(B) = 0.45 A, B are independent events.

Q: Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y = { a, b, c }, and Z = {b, c , d, e, f} α1. Find…

A: Since you have given two different questions therefore we will solve the first for you. IF you want…

Q: Let -2 1 -1 A = 1 2 2 2 1 2 Give the 2,1 entry of A -'. a) b) -3 d) f) None of the above. 4,

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Q: Prove.

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Q: Which of the following statements are correct if y, = 2x, Vi = 1,2,.,n? A. -2x В. у - 4х C. s -2s…

A: 8. Given statement yi=2xi Consider, E(Y)=E(2x)        =2E(X)     y¯=2x¯ V(Y)=V(2x)        =4V(X)…

Q: 2), Compute SE. di where Fュく-,) C is s shown

A: The general form of a vector valued function in three dimensions is given by F→=F1,F2, where F1 and…

Q: I FIND THE INTERIOR ANGLES OF A A BC. B(5,4) A (o,10)

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Q: 3 4] 2 and ||A||, = 17 , then k= -2 k. If A = ||k|+1 1 -1 Select one: а. 11 b. 14, -14 С. 11, -11 d.…

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Q: Given: -3 -5 -1 4 3 3 C= 2 4 - 1 D= -5 -6 A= 5 1 B= -3 4 2 -4 -5 -2 0 Compute AC - BD. O -43 34 -7 -…

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Q: Given that v = ⟨0, –2⟩ and w = ⟨5, –8⟩, what is w – v?

A:

Q: State which of the following statements, are true, vacuously true, or false. (a) If A CAN B, then…

A: I have given the answer in the next step. Hope you understand that

Q: Let A = ff, I, y }, B = {r, a, t}. Find A x B and B X A. AxB= qafhbuifsfvggbh

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Q: Q.1) Evaluate IT ycos(ry) dzdy 0.

A: We will find the double integral as following.

Q: a. Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y = { a, b, c }, and Z = {b, c , d, e, f} a1.…

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Q: Q2: if A= [{1,2},{3}], H= [{1}, {2,3}], G= [{1,3}, {2}] Show that A, H and G are mutually disjoint

A: Note: " Since you have posted multiple questions. we will solve the first question for you. To get…

Q: Let U = {x | x is the name of one of the months in a year} J = {x | x  U and x begins with the…

A: Given that U = {x | x is the name of one of the months in a year} J = {x | x U and x begins with the…

Q: 11. If an+1 = 2an + 3 and ao = 1, then az = %3D 509 O 513 O 487 O 496

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Q: 3. Show by an example that the following statements are false. i. a - (b c) = (a - b) (a - c) for…

A: ( i )  a - (b • c) = ( a - b ) • (a - c )  fo all a , b , c belongs to real number R   We show that…

Q: Y D Prox

A: Product of two sets

Q: 1. If (x+y)-x²+y´ , which of the following statements must also be true? 1. x=0 I, (x-y)? -x²+y?…

A: Given (x+y)2=x2+y2 Expanding the identity,  x2+y2+2xy=x2+y22xy=0xy=0 ...(1) Hence (III) is true

Q: a-x a- y = qy px YZ prove that x, y, z are in H.P. If a-z and p, q, and r are in A.P., then If a, b,…

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Q: If X, then Y. If Y, then Z, y is true, So:

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Q: For a, b, c, d e R, show the following. (a) If a >b and c> d, then a +c>b+d.

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Q: T T T T F 18. Let A and B be sets then A + B if, and only if A ¢ B and B ¢ A. For sets A, B, and C,…

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Q: 3. Let A = {x,y, {x, y}}. a. Is {x, y} CA ? b. Is {x, y} € A ? Is {y} C A ? C. d. Is {y} € A ?

A: By Bartleby policy I have to solve only first one. Post separately remaining questions.

Q: e independent, and the P(A) = 0.4 and P(B) = 0.6 find: a) P(A ∩ B)                  b)P(A U

A: P(A) = 0.4 P(B) = 0.6 to find a) P(AnB) b) P(AuB)

Q: Let A = {a, b, c}, B = {x, y}, and C = {0, 1}. Find A × B × C C × B × A C ×…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…